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Finding the Third Proportional to 45,199 and 98,441

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Solution

The third proportional to 45,199 and 98,441 is: 214,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,199 : 98,441 = 98,441 : x
  2. Step 2: Convert to fraction form
    45,199/98,441 = 98,441/x
  3. Step 3: Cross multiply
    45,199x = 98,441 × 98,441
  4. Step 4: Simplify right side
    45,199x = 9,690,630,481
  5. Step 5: Solve for x
    x = 9,690,630,481/45,199
  6. Step 6: Final answer
    x = 214,399.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.